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Finding the Fourth Proportional to 1,580.39, 2,371.10 and 657.73

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Solution

The fourth proportional to 1,580.39, 2,371.10 and 657.73 is: 986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.39 : 2,371.10 = 657.73 : x
  2. Step 2: Convert to fraction form
    1,580.39/2,371.10 = 657.73/x
  3. Step 3: Cross multiply
    1,580.39x = 2,371.10 × 657.73
  4. Step 4: Simplify right side
    1,580.39x = 1,559,543.60
  5. Step 5: Solve for x
    x = 1,559,543.60/1,580.39
  6. Step 6: Final answer
    x = 986.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.